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Finding the Fourth Proportional to 415.73, 623.57 and 198.65

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Solution

The fourth proportional to 415.73, 623.57 and 198.65 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.73 : 623.57 = 198.65 : x
  2. Step 2: Convert to fraction form
    415.73/623.57 = 198.65/x
  3. Step 3: Cross multiply
    415.73x = 623.57 × 198.65
  4. Step 4: Simplify right side
    415.73x = 123,868.07
  5. Step 5: Solve for x
    x = 123,868.07/415.73
  6. Step 6: Final answer
    x = 297.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.